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Finding the Fourth Proportional to 189.73, 284.05 and 124.81

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Solution

The fourth proportional to 189.73, 284.05 and 124.81 is: 186.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.73 : 284.05 = 124.81 : x
  2. Step 2: Convert to fraction form
    189.73/284.05 = 124.81/x
  3. Step 3: Cross multiply
    189.73x = 284.05 × 124.81
  4. Step 4: Simplify right side
    189.73x = 35,452.28
  5. Step 5: Solve for x
    x = 35,452.28/189.73
  6. Step 6: Final answer
    x = 186.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.